1202045200 has 60 divisors (see below), whose sum is σ = 2897441908. Its totient is φ = 479232000.

The previous prime is 1202045189. The next prime is 1202045281. The reversal of 1202045200 is 25402021.

It can be written as a sum of positive squares in 6 ways, for example, as 140849424 + 1061195776 = 11868^2 + 32576^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120400 + ... + 130000.

Almost surely, 2^1202045200 is an apocalyptic number.

1202045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448720954).

1202045200 is an abundant number, since it is smaller than the sum of its proper divisors (1695396708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1202045200 is a wasteful number, since it uses less digits than its factorization.

1202045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 9921 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1202045200 is about 34670.5235034027. The cubic root of 1202045200 is about 1063.2619346742.

Adding to 1202045200 its reverse (25402021), we get a palindrome (1227447221).

The spelling of 1202045200 in words is "one billion, two hundred two million, forty-five thousand, two hundred".